A new formulation of stochastic mechanics

Michele Pavon

Research output: Contribution to journalArticlepeer-review


Continuing our research [J. Math. Phys. 36 (1995) 3804], we show that the introduction of complex-valued velocities and momenta allows us to develop a form of stochastic mechanics quite similar to classical mechanics. In particular, we derive a stochastic counterpart of Hamilton's canonical equations and provide a simple interpretation for the uncertainty principle.

Original languageEnglish (US)
Pages (from-to)143-149
Number of pages7
JournalPhysics Letters A
Issue number3-4
StatePublished - Dec 18 1995


  • Canonical equations
  • Hamilton-Jacobi fluid
  • Momentum process
  • Phase-space distribution
  • Stochastic mechanics
  • Uncertainty principle

ASJC Scopus subject areas

  • General Physics and Astronomy


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